高耸结构非Gauss风载响应分析

考虑风载中脉动风速平方项的影响,推导了非Gauss风载的前四阶矩函数;基于Fourier变换由风载谱密度求得结构风振响应的四阶中心矩,通过Gram-Charlier渐进展式来确定结构响应的一维概率密度分布;利用时域分析的相关函数检验了位移和速度响应相互独立性假设的合理性,进而构造出响应的联合概论密度,给出了一种非Gauss风载下分析高耸结构风振响应的方法;对Gauss和非Gauss风载模型下高耸结构风振响应及其动力可靠性受阻尼、地貌类别的影响进行了参数研究.

Dynamic Responses of the High Slender Structure Under Non-Gaussian Model of Wind Load

With reference to the effect of the quadratic component of turbulent-wind fluctuation, the statistical moments of wind load up to the 4~(th) order are derived and the spectrum densities are given based on the Fourier transformation. By means of the Gram-Charlier series, the first-order probability densities of the structure responses are then constituted with the former 4~(th) order central moments of responses. Under the independent hypothesis of the structural displacement and its derivative, whose applicability is verified by the correlation between the two signals, the joint probability density function is developed and a numerical scheme for the analysis of the dynamic behaviors of the high-slender structure under wind excitation is obtained. Parametric analysis on dynamic responses and reliability under both Gaussian and non-Gaussian models of wind load are then investigated.